Controlling kinetics of self-propelled rod-like swimmers near multi sinusoidal substrate

• Published in: Computers in biology and medicine 2022-12, Vol.151 (Pt A), p.106250-106250, Article 106250
• Main Authors: Asghar, Zeeshan, Shah, Rehman Ali, Pasha, Amjad Ali, Rahman, Mustafa Mutiur, Khan, Muhammad Waris Saeed
• Format: Article
• Language: English
• Subjects: Algorithms; Bacteria; Complex undulating sheet; Constitutive equations; Constitutive relationships; Control rods; Couple stress fluid; Energy consumption; Equilibrium conditions; Flagella; Flow velocity; Gliding; Gliding bacteria; Kinetics; Mechanical properties; Modified Newton-Raphson method; Motility; Movement; Newton-Raphson method; Organisms; Parameters; Physical properties; Slime; Slip effects; Soft substrate; Substrates; Swarming; Swimming; Twitching; Velocity
• ISSN: 0010-4825; 1879-0534
• DOI: 10.1016/j.compbiomed.2022.106250

Motility is defined as the movement of cells by some form of self-propulsion. Some organisms motile by using long flagella that quickly rotate to propel them over various surfaces (in swarming and swimming mechanism), while few motile without the aid of flagella (in twitching, sliding and gliding mechanism). Among these modes, gliding motility is adopted by a rod-shaped organism famously known as gliding bacteria. It is hypothesized that in such type of motility, organism motile under their own power by secreting a layer of slime on the substrate. In this study, an active wall is considered as a substrate and a two-dimensional wavy sheet as an organism. Slip effects are also employed in the current work. The physical properties of the slime are governed by a suitable constitutive equation of couple stress model. A sixth order BVP is obtained by utilizing lubrication assumption. For an appropriate fixed pair of flow rate and organism speed the BVP is solved by MATLAB built-in function bvp-5c. This solution is utilized in the mechanical equilibrium conditions which are obviously not satisfied yet. To satisfy these conditions, the pair of flow rate and gliding speed is refined by a root finding algorithm (modified Newton–Raphson method). By employing this numerical scheme, various figures are shown to demonstrate the effect of several associated parameters on organism speed, flow rate, energy expended by the glider, streamlines and longitudinal velocity. It is observed from the graphical results that organism speed and energy consumption is directly proportional to the couple stress parameter and slip effects. •The hydrodynamics of micro-organism near a soft surface are investigated.•Problem is based on creeping flow and long wavelength approximation.•Slime is taken as Couple stress fluid present on a slippery boundary.•Gliding speed can be controlled via adjusting fluid parameters.